GCD of 960, 256, 531, 969 Calculator

Given Input numbers are 960, 256, 531, 969

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 960

List of positive integer divisors of 960 that divides 960 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 256

List of positive integer divisors of 256 that divides 256 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 531

List of positive integer divisors of 531 that divides 531 without a remainder.

1, 3, 9, 59, 177, 531

Divisors of 969

List of positive integer divisors of 969 that divides 969 without a remainder.

1, 3, 17, 19, 51, 57, 323, 969

Greatest Common Divisior

We found the divisors of 960, 256, 531, 969 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 960, 256, 531, 969 is 1.

Therefore, GCD of numbers 960, 256, 531, 969 is 1

Given Input Data is 960, 256, 531, 969

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 960 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime Factorization of 256 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime Factorization of 531 is 3 x 3 x 59

Prime Factorization of 969 is 3 x 17 x 19

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(960, 256) = 3840

GCD(960, 256) = ( 960 x 256 ) / 3840

GCD(960, 256) = 245760 / 3840

GCD(960, 256) = 64

Step2:

Here we consider the GCD from the above i.e. 64 as first number and the next as 531

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(64, 531) = 33984

GCD(64, 531) = ( 64 x 531 ) / 33984

GCD(64, 531) = 33984 / 33984

GCD(64, 531) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 969

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 969) = 969

GCD(1, 969) = ( 1 x 969 ) / 969

GCD(1, 969) = 969 / 969

GCD(1, 969) = 1

GCD of 960, 256, 531, 969 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 633, 909, 767, 538
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• GCD of 760, 758, 794, 282
• GCD of 100, 240, 774, 348

1. What is the GCD of 960, 256, 531, 969?

GCD of 960, 256, 531, 969 is 1

2. Where do I get the detailed procedure to find GCD of 960, 256, 531, 969?

You can find a detailed procedure to find GCD of 960, 256, 531, 969 on our page.

3. How to find GCD of 960, 256, 531, 969 on a calculator?

You can find the GCD of 960, 256, 531, 969 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.